show that cosФ +2sinФ =0 can be expressed as cot=-2

Answers

Answer 1

Answer:

We can start by dividing both sides of the equation cos(Ф) + 2sin(Ф) = 0 by sin(Ф):

cos(Ф)/sin(Ф) + 2 = 0

We can then use the identity cot(Ф) = cos(Ф)/sin(Ф) to substitute for cos(Ф)/sin(Ф):

cot(Ф) + 2 = 0

Subtracting 2 from both sides, we get:

cot(Ф) = -2

Therefore, we have shown that cos(Ф) + 2sin(Ф) = 0 can be expressed as cot(Ф) = -2.


Related Questions

A quadratic function has a vertex at (3, -10) and passes through the point (0, 8). Which of the following equations best represents the function? O y = 2(x+3)² +8 O y = 2(x+3)² – 10 Oy=(x-3)²-10 O y = 2(x-3)² – 10​

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}[/tex]

460g of flour is needed to make enough dough balls for 6 people . how much flour do you need to serve 16 people

Answers

Answer: 1226.72g

Step-by-step explanation:

If 460g of flour is needed to make enough dough balls for 6 people, we can find the amount of flour needed for each person by dividing 460 by 6:

460 g / 6 = 76.67 g/person

To find the amount of flour needed for 16 people, we can multiply the amount of flour needed per person by the number of people:

76.67 g/person * 16 people = 1226.72 g

Therefore, we need 1226.72 g of flour to serve 16 people.

To find out how much flour is needed to serve 16 people, we can use a proportion:

460 g / 6 people = x g / 16 people

To solve for x, we can cross-multiply:

6 * x = 460 g * 16
x = (460 g * 16) / 6
x = 1,226.67 g

Therefore, you would need 1,226.67 g of flour to serve 16 people.

A group of friends wants to go to the amusement park. They have no more than $325 to spend on parking and admission. Parking is $13, and tickets cost $39 per person, including tax. Write and solve an inequality which can be used to determine

p, the number of people who can go to the amusement park.

Answers

The maximum number of visitors to the theme park p=14.

Given that few friends want to visit the amusement park.

They are limited to spending $325 for parking and admission.

Tickets are $39 per person, tax included, and parking is $13.

We have to find the maximum number of visitors to the amusement park p.

We can write as $13+$39p≤$325

$39p≤$325-$13

p≤14

Therefore, the maximum number of visitors to the amusement park p=14.

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What is the surface area?
5 ft
6 ft
5 ft
10 ft
4 ft

square feet

Answers

The total surface area of the prism is 152 ft².

What is the total surface area of the prism?

The total surface area of the prism is calculated by applying the formula for total surface area of prism.

S.A = bh + (s₁ + s₂ + s₃)L

where;

b is the base of the triangleh is the height of the triangles₁ is the first triangular faces₂ is the second triangular faces₃ is the third triangular faceL is the length of the prism

The surface area of the prism is calculated as;

S.A = 6 ft (4 ft) + (6 ft + 5 ft+ 5 ft) x 8 ft

S.A = 24 ft² + 128 ft²

S.A = 152 ft²

Thus, the surface area of the prism is calculated using the formula for surface of right prism.

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Which type of material is indicated by this symbol of section lining?

A.
rubber, plastic and electrical insulation
B.
marble, slate glass porcelain
C.
water and other liquids
D.
rock
E.
concrete

Answers

Option A. rubber, plastic and electrical insulation is the symbol of section lining.

What is section lining?

Section lining (also referred to as cross-hatching or hatching) is an integral technique in technical drawing, engineering drafting, and architecture for representing the interior or cross-sectional view of an object. This form of sectioning uses parallel lines at 45 degree angles that fill an object's cut or sectioned areas - this helps visually differentiate solid material from empty space while emphasizing where cuts have occurred.

Complex drawings may include various methods for representing different materials, including using different thicknesses of line thicknesses or spacing or patterns in section linings to represent them

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a frustum of a cone has height =28m and its top radius is 6m and its bottom radius is 14m determine
a) curved surface area of the cone
b) total surface area of the cone
c) the volume of the cone. take pie as 22/7 or 3.142
WILL MARK AS BRAINLIEST
100PTS ​​

Answers

The curved surface area of the frustum is approximately 1356.51m². The total surface area of the frustum is approximately 1915.09m². The volume of the frustum is approximately 12348.57m³.

To find the curved surface area of the frustum, we need to find the slant height of the frustum first. Using the Pythagorean theorem, we have

l = √(h² + (R-r)²)

where h = 28m, R = 14m, and r = 6m

l = √(28² + (14-6)²) = √(784 + 64) = √848 ≈ 29.12m

The curved surface area of the frustum can be calculated as

CSA = π(R+r)l

CSA = 22/7 × (14+6) × 29.12

CSA ≈ 1356.51m²

The total surface area of the frustum can be calculated as the sum of the curved surface area and the areas of the top and bottom circles. The area of a circle with radius r can be calculated as πr². Thus, we have

TSA = CSA + πR² + πr²

TSA ≈ 1356.51 + 22/7 × 14² + 22/7 × 6²

TSA ≈ 1915.09m²

The volume of the frustum can be calculated as

V = 1/3 × πh(R² + Rr + r²)

V = 1/3 × 22/7 × 28(14² + 14×6 + 6²)

V ≈ 12348.57m³

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Fill in each blank to complete the following sentence.
For 6x² +7x+3=0, a=6, b=________ and c =
b=₁c-0

Answers

The values are a = 6, b = 7 and c = 3.

Given is a quadratic equation 6x² + 7x + 3 = 0, we need to compare this with the standard form of a quadratic equation.

We know that the standard form of a quadratic equation is given by =

ax² + bx + c = 0

So,

Comparing both the equations,

ax² + bx + c = 0

6x² + 7x + 3 = 0

We see, a = 6, b = 7 and c = 3.

Hence, the values are a = 6, b = 7 and c = 3.

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Noelle started drawing at 2:15 pm. If she stopped at 4:30 pm, how many MINUTES did she spend drawing?

Answers

Answer:2 hours, 15 minutes, and 0 second

2.25 hours

135 minutes

8,100 seconds

HELP EASY ALGEBRA 1- The equation y = 2x2 – 4x – 3 models the cross-section of a sculpture that sits in the water, where x is horizontal distance, and y is height above sea level. At what two x-values is the sculpture at sea-level?
A. 1 ± 10−−√
B. 2 ± 10√4
C. 1 ± 10√2
D. 4 ± 210−−√

Answers

The two values of x of the quadratic equation at which the sculpture is at sea level is x = 1 ± ( 1/2 )√10

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

y = 2x² - 4x - 3 = 0

At sea level , y = 0

And , roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

On simplifying , we get

x = [ 4 ± √ ( -4 )² - 4 ( 2 ) ( -3 ) ] / 2 ( 2 )

x = [ 4 ± √ ( 16 + 24 ) ] / 4

x = ( 4 ± √40 ) / 4

On simplifying the equation , we get

x = ( 4 ± 2√10 ) / 4

x = 1 ± ( 1/2 )√10

Hence , the values of x at which the sculpture is at sea level is

x = 1 ± ( 1/2 )√10

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What is the value of the expression? Do not use a calculator.
tan
Tan2pie/3

Answers

The value of tan 2π/3 without calculator is -√3.

What is the value of tan 2π / 3 without calculator?

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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Square MNPQ has an area of 9 square units. The vertex M is located at (2,3). What is a possible coordinate pair for vertex N?

Answers

A possible coordinate pair for vertex N is (2.42, 2.58).

We have,

The area of the square is 9 square units, and each side of the square must have a length of 3 units.

Let's start by finding the coordinates of vertex P.

Since the square is a square, we know that the x-coordinate of P is the same as the y-coordinate of M, and the y-coordinate of P is the same as the x-coordinate of M.

The coordinates of P are (3, 2).

To find the coordinates of N, we can use the fact that the diagonals of a square bisect each other and are perpendicular.

The midpoint of MP is the same as the midpoint of NQ, and the slope of MP is the negative reciprocal of the slope of NQ.

The midpoint of MP.

= [(2+3)/2, (3+2)/2]

= [2.5, 2.5]

Now,

The slope of MP is (2-3)/(3-2) = -1.

We now have the coordinates of one endpoint of NQ (the midpoint) and its slope.

We can use the point-slope form of the equation of a line to find the equation of NQ:

y - 2.5 = -1(x - 2.5)

y - 2.5 = -x + 2.5

y = -x + 5

We know that N is on the line NQ and that it is a distance of 3 units from the midpoint of NQ, which is (2.5, 2.5).

We can use the distance formula to find the coordinates of N:

d = √((x2 - x1)^2 + (y2 - y1)^2)

3 = √((x - 2.5)^2 + (y - 2.5)^2)

Squaring both sides:

9 = (x - 2.5)² + (y - 2.5)^2

We also know that N is on the line y = -x + 5.

We can substitute this into the equation above to get:

9 = (x - 2.5)^2 + (-x + 2.5 - 2.5)^2

9 = (x - 2.5)^2 + (x - 5)^2

9 = x^2 - 5x + 6.25 + x^2 - 10x + 25

0 = 2x^2 - 15x + 30.75

0 = x^2 - 7.5x + 15.375

We can use the quadratic formula to solve for x:

x = (7.5 ± √(7.5² - 4(1)(15.375))) / (2(1))

x = (7.5 ± √(13.875)) / 2

x ≈ 5.08 or x ≈ 2.42

Since vertex N is to the left of vertex M, we choose the smaller value of x: x ≈ 2.42.

Now we can substitute this value of x into the equation y = -x + 5 to find the corresponding value of y:

y ≈ 2.58

Therefore,

A possible coordinate pair for vertex N is (2.42, 2.58).

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Help. Find the area of the surface

Answers

The surface area of the figure is 105 in².

What is surface area?

Surface area is the sum of all the surfaces on each side of a three-dimensional shape.

To calculate the surface area of the square based pyramid, we use the formula below

Formula:

S.A = 2lh+l²..................... Equation 1

Where:

S.A = Surface area of the Pyramidl = Length of the baseh = Slight height of the Pyramid

From the diagram,

Given:

l = 5 inh = 8 in

Substitute these values into equation 1

S.A = 2(5×8)+5²S.A = 80+25S.A = 105 in²

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In the decision-making process, why is it important to gather relevant information before making a decision?
a. Gathering relevant information is a way of determining the outcome of a decision before it is
made.
b. Gathering relevant information helps you determine what your objective should be.
c. Gathering relevant information helps you become aware of factors which could influence your
actions or their consequences.
d. Gathering relevant information allows you to explain your decision to other people.
Please select the best answer from the choices provided
Mark this and return
Save and Exit
Next
Submit

Answers

The correct answer is (c) gathering relevant information helps you become aware of factors which could influence your actions or their consequences.

In the decision-making process, gathering relevant information is important because it helps you to become aware of the factors that could influence your actions or their consequences. By gathering relevant information, you can identify the options available to you, assess the potential risks and benefits of each option, and evaluate the impact of your decision on yourself and others.

Gathering relevant information can also help you to make a more informed decision, based on a more complete understanding of the situation and the potential consequences of your actions. This can help you to make a decision that is more likely to achieve your objectives, and to avoid making decisions that could have negative or unintended consequences.

While gathering relevant information may help you to determine the outcome of a decision (Option A), it is not a guarantee, as there are often many factors that can influence the outcome of a decision. Option B and D are not accurate, as gathering relevant information does not necessarily help you determine your objective or explain your decision to others.

Write the fraction or mixed number as a decimal 8 11/100

Answers

Answer:

Step-by-step explanation:

8 is the whole number

11/100 = 0.11

ANSWER: 8.11

8 .0.11 becase 8 si the whole number. 100 we can put One 0 to represent 100 end we left 11 end we put out together to write 8 .0.11

Draw the image of quadrilateral ABCD under the translation (x,y) (x-7,y+1).

Answers

The translated figure will be entirely within the 3rd quadrant of the graph.

We have, translation (x, y)--> (x-7,y+1).

Here, the notation (x, y) ⇒ (x-7, y+1) means that each x-coordinate has 7 subtracted from it.

Additionally, each y-coordinate has a 1 added to it because of the notation. Point B's y-coordinate is -3. It becomes -2 by adding 1.

As a result, point B's image will be at (-7, -2), 7 units to the left and 1 unit to the upper right of B.

Thus, the translated figure will be entirely within the 3rd quadrant of the graph.

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Cual es el radio y el diametro del siguiente circulo de 7.5​

Answers

The diameter of the circle is also 7.5 units.

We have,

The radius of a circle is half of its diameter.

Given that the circle has a diameter of 7.5, we can find the radius by dividing the diameter by 2:

Radius

= diameter/2

= 7.5/2

= 3.75

The radius of the circle is 3.75 units.

The diameter of the circle is twice the radius.

Diameter = 2 x radius = 2 x 3.75 = 7.5

Thus,

The diameter of the circle is also 7.5 units.

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The complete question.

What is the radius and diameter of the following circle of 7.5​

URGENT!! ILL GIVE BRAINLIEST! AND 100 POINTS

Answer choices
Y=50 + 0.30x
Y=30+ 0.50x
1000
30
800
200
Blank blank blank blank blank

Answers

The y-intercept represents the base price of $200 for airfare from NYC.

The slope represent a cost of $0.30 cents per mile traveled.

According to the equation given, someone who traveled 2000 miles from NYC would pay $800 for their fare.

According to the equation given, someone who paid $500 for airfare from NYC would have traveled 1000 miles.

If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y = 50 + 0.30x.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.

Based on the information provided about this trip, a linear equation that models the situation is given by;

y = mx + c

y = 0.30x + 200

When x = 2000, the price of airfare (y) is given by;

y = 0.30(2000) + 200 = $800.

When y = 500, the distance traveled (x) is given by;

500 = 0.30x + 200

300 = 0.30x

x = 1000 miles.

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The least squares regression equaltion is y= 726.4x + 14,063 where y is the median income and x is the percentage of 25 years and older with at least a bachelors degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7466

Answers

The least squares regression equation and the correlational figure collectively yield insightful details regarding the association among educational attainment and income in this region.

How to explain the regression

The least squares regression equation solely expresses the linear connection between two specific variables, y and x:

y = 726.4x + 14,063

A correlation coefficient of 0.7466 significantly suggests there is a moderate to strong positive association between the portion of inhabitants having at least an undergraduate degree and median returns in this area.

In conclusion, the least squares regression equation and the correlational figure collectively yield insightful details regarding the association among educational attainment and income in this region.

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Factor please please
c^3 - 100c​

Answers

C(c^2-100) take out c
C(C-10)(c+10) difference of perfect Square

some students at cook middle school and elm middle school participated in a survey

Answers

The relative frequency of all students surveyed who go to Cook Middle School and prefer Energy Flow is 40 %

How to find the relative frequency ?

The relative frequency of students surveyed who go to Cook Middle School and prefer Energy Flow, can be found by the formula :

= Number of students who go to Cook Middle and prefer Energy flow / Number of students surveyed

Number of students who go to Cook Middle and prefer Energy flow from the table is 20 students.

The total number of students surveyed is 50 students.

The frequency is:

= 20 / 50 x 100 %

= 40 %

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Help please EASY WORK ILL MARK YOU BRAINLY

Answers

The measure of the angle ABC is 84 degrees and other measures are listed below

Finding the measure of ABC

Here, we have

8n - 38 = 5n - 8

So, we have

3n = 30

n = 10

So, we have

ABC = 8n - 38 + 5n - 8

ABC = 8(10) - 38 + 5(10) - 8

ABC = 84

So, the measure of the angle ABC is 84 degrees

Finding the measure of angle CBW

Here, we have

2k + 28 = 6k - 20

So, we have

4k = 8

k = 2

So, we have

CBW = 2k + 28

CBW = 2(2) + 28

CBW = 32

So, the measure of the angle CBW is 32 degrees

The interior angles of a polygon

The interior angle is calculated as

Angle = 180 * (n - 2)/n

Regular 18-gon

Angle = 180 * (18 - 2)/18

Angle = 160

Regular 24-gon

Angle = 180 * (24 - 2)/24

Angle = 165

Finding the measure of YA and MA

Here, we have

3x - 10 = x + 8

So, we have

2x = 18

x = 9

So, we have

YA = MA = 9 + 8

YA = MA = 17

Hence, the measures of YA and MA are 17

Finding the measure of NY and NV

Here, we have

4x - 15 = 2x - 3

So, we have

2x = 12

x = 6

So, we have

NY = 2(6) - 3

NY = 9

NV = 2 * 9

NV = 18

Hence, the measures of NY and NV are 9 and 18, respectively

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A number cube is rolled. Event A is rolling an odd number, and event B is rolling a factor of 12. What is P(AU B)?

Answers

Answer:  1

Explanation:

A = set of odd numbers = {1,3,5}

B = set of factors of 12 = {1,2,3,4,6}

A U B = union of set A and set B

A U B = {1,3,5} union {1,2,3,4,6}

A U B = {1,3,5,       1,2,3,4,6}

A U B = {1,2,3,4,5,6}

The set union operation combines two sets into one bigger set. Duplicates are tossed out.

There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.

Therefore, the probability event  A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.

Side notes:

A U B can be read out as "event A or event B"; so P(A U B) is "the probability event A happens or B happens or both".A intersect B = {1,3} = values that are in both set A and set B at the same time. These are both odd and a factor of 12.

4. Amada buys 4 cans of paint and
3 brushes for a total of $104. The
price of one paint can is $4 more
than double the price of one brush.
Write the system of equations that
describe this situation. Select each
equation in the system.

Answers

The system of equations is:

4x + 3y = 104

x = 4 + 2y

The correct options are C and D.

How to find the equations for the system?

Let's describe the variables for our system:

x = cost of a can of paint.

y = cost of a brush.

We know that the total cost is $104, then one of the equations is:

4x + 3y = 104

And we know that the cost of a can is $4 more than the double of a brush, then the other equation is:

x = 4 + 2y

Then the correct options are C and D.

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rerwe has 20 plus n20 what is it

Answers

Therefore, it can be seen that Rerwe has a total of $120.


How to solve

Given the following values, we can solve the problem:

We know n = 5, so we can calculate n20 as:

n20 = 5 * 20 = 100

Now, we can add this to the initial $20:

Total money = $20 + $100 = $120

Therefore, it can be seen that Rerwe has a total of $120.

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"If Rerwe has $20 and is given an additional n times 20 dollars, where n equals 5, how much money does Rerwe have in total?

Help me please dude HAHA AA
A

A
A
A

A
A
A
A
A
A
A
A
APLEASE

Answers

Answer:

72

Step-by-step explanation:

no

A genetic experiment with peas resulted in one sample of offspring that consisted of 440 green peas and 155 yellow peas.
a. Construct a ​95% confidence interval to estimate of the percentage of yellow peas.
b. Based on the confidence​ interval, do the results of the experiment appear to contradict the expectation that​ 25% of the offspring peas would be​ yellow?

Answers

The 95 percent confidence interval is (0.20, 0.32).

a. We can construct a 95% confidence interval to estimate the percentage of yellow peas as follows:

Let p = proportion of yellow peas = 155/595 = 0.26

Sample size = n = 595

Standard error = SE = √(p × (1-p) / n) = √(0.26 × (1-0.26) / 595) = 0.03

95% confidence interval = p ± 1.96 × SE

= 0.26 ± 1.96 × 0.03

= 0.26 ± 0.06

So, the 95% confidence interval is (0.20, 0.32).

b. Yes, the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow, as the 95% confidence interval does not include the expected value of 0.25.

Therefore, the 95 percent confidence interval is (0.20, 0.32).

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Can someone help me with this please? I'll give extra points :(

Answers

Answer:

Distance between points K and L = 9 units

Distance between points M and N = √1282 or approximately 35.805 units

Step-by-step explanation:

We can find the distance, d, between a pair of points using the distance formula, which is

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex], where (x1, y1) are set of points, and (x2, y2) are another set.

Distance between K and L:

We can allow K (5, 0) to be our (x1, y1) point and L (-4, 0) to be our (x2, y2) point.  Now we can plug in the points into the distance formula:

[tex]d=\sqrt{(5-(-4))^2+(0-0)^2}\\ d=\sqrt{9^2}\\ d=\sqrt{81}\\ d=9[/tex]

Thus, the distance between points K and L is 9 units

If you were to use graphing paper, you would see that the points both lie on the x-axis and you counting the ticks between the two points would show that they are 9 units apart

Distance between M and N:

Now, can allow M (-21, -29) to be our (x1, y1) point and N (0, 0) to be our (x2, y2) point.  Now we can plug in the points into the distance formula:

[tex]d=\sqrt{(-21-0)^2+(-29-0)^2}\\ d=\sqrt{(-21)^2+(-29)^2}\\ d=\sqrt{441+841}\\ d=\sqrt{1282} \\d=35.80502758\\d=35.805[/tex]

sqrt (1282) is the exact distance between the two points, while 35.805  is the approximate distance between the two points to the nearest thousandth

On graphing paper, the points would look about 35 units apart, but the distance formula allows us to be more exact since 35^2 is 1225 and this is 57 less than 1282

a frustum of a cone has height =28m and its top radius is 6m and its bottom radius is 14m determine
a) curved surface area of the cone
b) total surface area of the cone
c) the volume of the cone. take pie as 22/7 or 3.142
WILL MARK AS BRAINLIEST
100PTS ​

Answers

Answer:

a) The curved surface area of the frustum of the cone is given by:

= (1 + 2)

where is the slant height of the frustum, 1 is the top radius, and 2 is the bottom radius.

We can find the slant height using the Pythagorean theorem:

= √(ℎ^2 + (2 − 1)^2)

= √(28^2 + (14 − 6)^2)

= √(784 + 64)

= √848

= 29.12

Substituting the values into the formula, we get:

= × 29.12 × (6 + 14)

= 1138.5 m^2

Therefore, the curved surface area of the frustum of the cone is 1138.5 square meters.

b) The total surface area of the frustum of the cone is given by:

= 1^2 + 2^2 + (1 + 2)

Substituting the values into the formula, we get:

= × 6^2 + × 14^2 + × 29.12 × (6 + 14)

= 1138.5 + 1070.88 + 1138.5

= 3347.88 m^2

Therefore, the total surface area of the frustum of the cone is 3347.88 square meters.

c) The volume of the frustum of the cone is given by:

= 1/3 × × ℎ × (1^2 + 2^2 + 12)

Substituting the values into the formula, we get:

= 1/3 × × 28 × (6^2 + 14^2 + 6 × 14)

= 1/3 × × 28 × (36 + 196 + 84

Michael works for an engineering firm. He is assigned to draw orthographic projections of an object. Which line will he draw to indicate visible boundaries?
Michael will draw _________ lines to indicate visible boundaries. The thickness of the lines will be 0.5-0.6 mm.

Answers

Michael will draw solid lines to indicate visible boundaries in an orthographic projection. The solid lines are usually thick and dark, with a thickness of 0.5-0.6 mm, to make them easily visible and distinguishable from other lines in the drawing.

What are the line type use to represent visible boundaries?

The line used to represent visible lines are called the solid lines. These lines are connected together from start to finish and have varying thickness depending on the boundary represented.

While orthographic projection is a technique used in engineering, architecture, and design to represent a three-dimensional object in two dimensions.

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Given the recent firings of Tucker Carlson from Fox News and Don Lemon from CNN, many are saying that both networks are not bias news platforms. Paul believes that Fox News is biased in their reporting of events. He decided to compare the number of positive stories on President Biden reported by CNN and the number of positive stories reported by Fox News. He got the following data:





FOX News

CNN News

January

21

17

February

24

19

March

31

25

April

15

18

May

11

17

June

10

15

July

27

29

August

12

17

September

17

19

October

23

25

November

21

25

December

13

14







What is ‘N’ for each group of News Networks?




What is the mean for each network?




What is the variance for each network?







What is the pooled variance?




Compute the appropriate statistic?







Discuss the meaning of this statistic at p<.05 (same as the 95% le

Answers

Provided that the information has been accurately presented in the explanation section;

1. The ‘N’ for each group of News Networks is 12

2. The mean for Fox News is 18.75 and CNN News is 20

3. The variance for FOX News is 46.022727 and CNN News 22.727273

4. The Pooled variance is 5.77565

5. Given that the t-test is -0.5301 and the p-value is 0.6067, this means that at p<.05 and 95% level, which means we cannot reject the null hypothesis. There is not enough evidence that support the claim that Fox News is biased in it reporting considering that both News outlets do not differ significantly in the number of positive stories.

How did we calculate for pool variance?

We can calculate the pool variance by using this formula;

pS² = n₁-1 × S²₁  + n₂- 1 × S²₂

             n₁ + n₂ -2

Which is    12-1 × 46.022727  + 12-1 × 22.727273

                          12 + 12 - 2

74.624 + 52.4402

       22

= 5.77565

The answers provided is based on the information gotten from the table below.                  

                     J      F      M      A     M     J    July    A     S    O    N     D

FOX News   21    24     31     15     11    10     27     12   17   23    21   13

CNN News   17     19     25    18    17     15    29    17    19   25    25   14

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